A major oil company has developed a new gasoline additive intended to increase mileage. To test this hypothesis, ten cars are randomly selected. The cars are driven both with and without the additive, and the results are displayed in the following table. The question is whether the gasoline additive significantly increases mileage.The difference \( d = (\text{gas mileage with additive}) - (\text{gas mileage without additive}) \) is calculated. The significance level for the test is \( \alpha = 0.01 \). It is assumed that the gas mileages are normally distributed for the population of all cars with and without the additive.| Car | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 ||-------------------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|| Without Additive | 17.7 | 11.1 | 27.2 | 18.7 | 20.2 | 26.2 | 19.8 | 26 | 9.6 | 23.5 || With Additive | 20 | 14.2 | 28.3 | 21.1 | 21.7 | 27.5 | 20.5 | 28.2 | 12.8 | 24.9 |**Step 1 of 5:** State the null and alternative hypotheses for the test.- **Null Hypothesis (\(H_0\)):** The gasoline additive does not significantly increase mileage (\(d \leq 0\)).- **Alternative Hypothesis (\(H_a\)):** The gasoline additive significantly increases mileage (\(d > 0\)).

It is given that d= gas mileage with additive – gas mileage without additive.

Answered: A major oil company has developed a new…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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